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Simplifying -33 + 7r = 3(r + -3) Reorder the terms: -33 + 7r = 3(-3 + r) -33 + 7r = (-3 * 3 + r * 3) -33 + 7r = (-9 + 3r) Solving -33 + 7r = -9 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -33 + 7r + -3r = -9 + 3r + -3r Combine like terms: 7r + -3r = 4r -33 + 4r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 -33 + 4r = -9 + 0 -33 + 4r = -9 Add '33' to each side of the equation. -33 + 33 + 4r = -9 + 33 Combine like terms: -33 + 33 = 0 0 + 4r = -9 + 33 4r = -9 + 33 Combine like terms: -9 + 33 = 24 4r = 24 Divide each side by '4'. r = 6 Simplifying r = 6
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